List all events associated with the random experiment of tossing of two coins. How many of them are elementary events?

Occurrence of an event an event associated to a random experiment is said to occur if any one of the elementary event associated to the event a is an outcome.

Compound event an event associated to a random experiment is a compound event if it is obtained by combining two or more elementary events associated to the random experiment.

If A and B are any two events associated with an experiment, then

Two or more events associated with a random experiment are said to be mutually exclusive if the occurrence of any one of them prevents the occurrence of all others.

Definition if there are n elementary events associated with a random experiment and m of them are favourable to an event A then the probability of happening or occurrence of event A is denoted by P(A) and is defined as the ratio (m)/(n) .

Read the following passage and answer the question The results of a random experiment is known as an outcome. The set of all possible outcomes of a random experiment is called the sample space. It is denoted by S. The outcomes satisfying particular condition are called favourable outcomes. A set of favourable outcomes is called an event. Event is a subset of the sample space. There are different types of events. (a) An event consisting of only one sample point is called an ememtntary event. (b) An event which does not contain any sample point is called an impossible event. How many outcomes are there in a random experiment of tossing two coins simultaneously? What are they ?

Define "Event" of a random experiment.

Three coins are tossed once. Describe the following events associated with this random experiment: A= Getting three heads, B= Getting two heads and one tail, C= Getting three tails D= Getting a head on the first coin. i. Which pairs of events are mutually exclusive? ii. Which events are elementary events? iii. Which events are compound events?